Fractions to Decimals: Learn

For example: Convert 4/9 to a decimal, rounding to the nearest hundredth.

Divide 4 ÷ 9 = 0.44444....

Round to 0.44

This procedure works because of the relationship between fractions and
division. You could think of fractions as a way to show an incomplete division,
or a division that may have a remainder.

This procedure is frequently done with a calculator, but if you are
doing long division, you may need additional placeholder zeros at
the end of your dividend to generate additional decimal places for the
result above. For example, when converting 5/6 to a decimal:

0

.

8

3

3

6

5

.

0

0

0

-

4

8

2

0

-

1

8

2

0

-

1

8

2

We could keep going, with more and more zeros after the 5.000,
but we will round this one to the nearest hundredth, so we can stop
at 3 decimal places, rounding our final answer to 0.83.